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There are methods for 3D reconstruction of an object from a single perspective image. These methods make use of the lines drawn on an object as clues to rebuild the 3D structure of the object under the assumption that the focal length of the camera is large. Methods have also been proposed to reduce the error due to this assumption by compensating the z-coordinates. In this paper, we propose a more accurate method to estimate the 3D coordinates of an object from its single line drawing by using vanishing points.